Application of Cox Proportional Hazards Model in Case of Tuberculosis Patients in Selected Addis Ababa Health Centres, Ethiopia

Table 9

The six highest differences in the parameter estimates of the variables included in the model in Table 7 when the data value for each patient is in turn deleted from the model, approximate delta-betas for age (𝜷_𝟏), TBC (𝜷_𝟐), HIV (𝜷_𝟑), and age by HIV (𝜷_𝟒).

(a)  

Deleted Obs. (𝑖)	Δ𝑖𝜷1	% change parameter of the std. error	Deleted Obs. (𝑖)	Δ𝑖𝜷𝟐	% change parameter of the std. error
730	0.0023234	30.57	413	−0.0439987	18.94
162	−0.0021205	27.90	585	−0.0428435	18.44
262	−0.0020957	27.58	343	−0.0427599	18.41
421	−0.0017624	23.20	368	−0.0423473	18.23
542	0.0017002	22.37	544	−0.04214	18.14
580	0.001611	21.20	447	−0.041601	17.91
Sd. error (𝜷𝟏) of full model = 0.00760			Sd. error (𝜷𝟐) of full model = 0.23231

(b)  

Deleted Obs. (𝑖)	Δ𝑖𝜷𝟑	% change parameter of the std. error	Deleted Obs. (𝑖)	Δ𝑖𝜷𝟒	% change parameter of the std. error
133	0.1185484	23.61	548	0.0042068	31.07
548	−0.1155908	23.02	63	0.0032745	24.18
204	0.1146464	22.83	133	−0.0031662	23.38
244	−0.1056003	21.03	204	−0.0030298	22.38
162	−0.1008921	20.10	244	−0.0027001	19.94
262	−0.098443	19.60	282	−0.0024873	18.37
Sd. error (𝜷𝟑) of full model = 0.50215			Sd. error (𝜷𝟒) of full model = 0.01354